Question 2 of 6 Map this question was written by sapling learning Sean Cordry at

Question

Question 2 of 6 Map this question was written by sapling learning Sean Cordry at Walters State Community College The image shows a small charge (qs E 25.0 nC) set at a distance r1 0.644 m from a larger charge. The electric potential (V1) at the location of qs is 0.0533 V Answer the two questions below, using three significant figures. Part A What is the value of the electric potential (V2) at the distance r2 0.322 m? Number Part B: If the small charge qs is moved along the path s from ritor2, how much work (W) must be done to the charge qs? Number Previous Next Save And Exit

Explanation / Answer

at r1 the electric potential of the charge q1 is null, then

V1 = V + Vs = V

V1 = ( K Q ) / r1 ---> Q = ( V1 r1 ) / K

Q = ( 0.0533 v * 0.644 m ) / ( 9x109 N.m2/C2 )

Q = 3.81x10-12 C

hence

V2 = V' + V's

V2 = ( K Q ) / r2 + ( K qs ) / ( r1 - r2 )

V2 = ( 9x109 N.m2/C2 * 3.81x10-12 C ) / ( 0.322 m ) + ( 9x109 N.m2/C2 * 25x10-9 C ) / ( 0.644 m - 0.322 m )

V2 = 698.9 v

b) W = -U = U1 - U2 = ( K qs Q) / r1 - ( K qs Q) / r2

W = ( 9x109 N.m2/C2 * 25x10-9 C * 3.81x10-12 C ) / ( 0.644 m ) - ( 9x109 N.m2/C2 * 25x10-9 C * 3.81x10-12 C ) / ( 0.322 m )

W = - 1.33x10^{-9} j

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